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siniylev [52]
2 years ago
5

Find the total area round to the nearest 10th if necessary use the pi symbol on calculator

Mathematics
1 answer:
Anika [276]2 years ago
3 0

Answer:

Total \:area\approx 290.5\: ft^2

Step-by-step explanation:

Total area =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2

(where r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft)

\therefore Total \:area=\frac {1}{2} \pi( r_1^2 +  r_2^2)

\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2)

\therefore Total \:area=1.57(121 + 64)

\therefore Total \:area=1.57(185)

\therefore Total \:area=290.45\: ft^2

\therefore Total \:area\approx 290.5\: ft^2

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Alina mixed 3 L of pineapple juice with every 7 L of orange juice in order to make fruit punch.
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3 years ago
Prime factorization practice all factors 1.- 25 2.- 49 3.- 7 4.- 13 5.- 24 6.- 48 7.- 168
sergiy2304 [10]
I'll do the first 2 and 6, and I challenge you to do the other three on your own!

For 1, from some guess and check we can figure out that 5*5=25. Since 5 is a prime number, that's it!

For 2, we can figure out that 7*7=49 and 7 is a prime number, so we're good there.

From 6, we can do some guess and check to figure out that 2*24=48, 2*12=24, 2*6=12, and 2*3=6, resulting in 2*2*2*2*3=48 since 2 and 3 are prime numbers. We found out, for example, to find 2*12 due to that if 2*24=48, 2*24 is our current factorization. By finding 2*12=24, we can switch it to 2*2*12
7 0
3 years ago
Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?
azamat
Look at the first line:  y = (3/5)x - 3.  What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation, 

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line.  Since 5y = 3x is present in both equations, the two lines MUST be parallel.



y = 4
4y = 6   =>   y = 6/4

y+4 and y =3/2 are both horizontal lines.  Since they are horiz., they are parallel.


4 0
3 years ago
Line ab contains the points a(-2,3) and b(4,5). Line ab has a slope that is
gayaneshka [121]

Given two points A = (A_x, A_y),\ B = (B_x,B_y), the slope of the line passing through the two points is

m = \dfrac{A_y-B_y}{A_x-B_x}

So, in your case, you have

m = \dfrac{3-5}{-2-4} = \dfrac{-2}{-6} = \dfrac{1}{3}

5 0
3 years ago
A school has two varsity basketball teams. One is the girls' team, and the other is the boys' team. On any given Saturday in Dec
belka [17]

The probability that either the girls' or boys' team gets a game is 0.85            

Step-by-step explanation:

Step 1:

Let P(G) represent the probability of girls team getting a game and P(B) represent the probability of the boys team getting a game.

P(B ∪ G) represents the probability of either girls and boys team getting a game.

P(B ∩ G) represents the probability of both girls and boys team getting a game.

Step 2:

It is given that P(G) = 0.8, P(B) = 0.7 and P(B ∩ G) = 0.65

We need to find the probability of either girls or boys team getting a game which is represented by P(B ∪ G)

Step 3:

P(B ∪ G) = P(B) + P(G) - P(B ∩ G)

= 0.8 + 0.7 - 0.65 = 0.85

Step 4:

Answer:

The probability that either the girls' or boys' team gets a game is 0.85

5 0
3 years ago
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